Details

sample171.0ms

Algorithm

intervals

Results

93.0ms

675×

body

valid

simplify2.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
4	1194
3	333
2	110
1	47
0	23

prune49.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 11.7b

localize87.0ms

Local error

Found 4 expressions with local error:

0.5b	(- (* a c) (* y i))
4.4b	(fma b (- (* i t) (* z c)) (* (- (* z y) (* t a)) x))
5.0b	(fma (- (* a c) (* y i)) j (fma b (- (* i t) (* z c)) (* (- (* z y) (* t a)) x)))
5.1b	(* (- (* z y) (* t a)) x)

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`associate-r` `associate-l`
2×	`flip3--` `associate-*l/` `fma-udef` `flip--`
1×	`sub-neg` `fma-neg` `diff-log` `prod-diff` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 58

Calls

4 calls:

7.0ms	(- (* a c) (* y i))
0.0ms	(fma b (- (* i t) (* z c)) (* (- (* z y) (* t a)) x))
0.0ms	(fma (- (* a c) (* y i)) j (fma b (- (* i t) (* z c)) (* (- (* z y) (* t a)) x)))
40.0ms	(* (- (* z y) (* t a)) x)

series1.2s

Counts

4 → 12

Calls

4 calls:

54.0ms	(- (* a c) (* y i))
270.0ms	(fma b (- (* i t) (* z c)) (* (- (* z y) (* t a)) x))
811.0ms	(fma (- (* a c) (* y i)) j (fma b (- (* i t) (* z c)) (* (- (* z y) (* t a)) x)))
91.0ms	(* (- (* z y) (* t a)) x)

simplify1.3s

Counts

70 → 70

Iterations

Iter	Nodes
done	5000
2	1022
1	294
0	121

prune2.0s

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 8.5b

localize44.0ms

Local error

Found 4 expressions with local error:

0.5b	(- (* c a) (* y i))
4.8b	(* b (- (* c z) (* t i)))
5.1b	(* x (- (* y z) (* t a)))
5.3b	(* j (- (* c a) (* y i)))

rewrite100.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
10×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
9×	`distribute-rgt-in` `distribute-lft-in` `associate-r` `associate-l`
7×	`sub-neg` `prod-diff`
6×	`associate-*r/` `add-log-exp`
4×	`expm1-log1p-u` `flip3--` `log1p-expm1-u` `flip--`
3×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`fma-neg` `diff-log`

Counts

4 → 100

Calls

4 calls:

7.0ms	(- (* c a) (* y i))
21.0ms	(* b (- (* c z) (* t i)))
46.0ms	(* x (- (* y z) (* t a)))
24.0ms	(* j (- (* c a) (* y i)))

series362.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(- (* c a) (* y i))
90.0ms	(* b (- (* c z) (* t i)))
100.0ms	(* x (- (* y z) (* t a)))
110.0ms	(* j (- (* c a) (* y i)))

simplify1.5s

Counts

112 → 112

Iterations

Iter	Nodes
done	5002
2	2239
1	530
0	200

prune1.4s

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 7.7b

localize69.0ms

Local error

Found 4 expressions with local error:

4.8b	(* b (- (* c z) (* t i)))
5.2b	(* (- (* t a)) x)
5.2b	(* (* y z) x)
5.3b	(* j (- (* c a) (* y i)))

rewrite109.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
15×	`pow1` `add-cbrt-cube` `add-exp-log`
13×	`associate-l`
12×	`associate-r`
11×	`*-un-lft-identity` `add-cube-cbrt`
6×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `sub-neg` `prod-diff` `associate-r/` `-commutative` `log1p-expm1-u` `add-log-exp`
3×	`unswap-sqr`
2×	`flip3--` `flip--`
1×	`distribute-lft-neg-out` `distribute-lft-neg-in` `neg-mul-1` `distribute-rgt-neg-in`

Counts

4 → 100

Calls

4 calls:

42.0ms	(* b (- (* c z) (* t i)))
13.0ms	(* (- (* t a)) x)
14.0ms	(* (* y z) x)
37.0ms	(* j (- (* c a) (* y i)))

series343.0ms

Counts

4 → 12

Calls

4 calls:

114.0ms	(* b (- (* c z) (* t i)))
50.0ms	(* (- (* t a)) x)
48.0ms	(* (* y z) x)
131.0ms	(* j (- (* c a) (* y i)))

simplify1.9s

Counts

112 → 112

Iterations

Iter	Nodes
done	5000
2	2633
1	530
0	200

prune1.7s

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 3.7b

localize97.0ms

Local error

Found 4 expressions with local error:

4.8b	(* b (- (* c z) (* t i)))
5.1b	(* t (* (- a) x))
5.2b	(* (* y z) x)
5.3b	(* j (- (* c a) (* y i)))

rewrite113.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-cbrt-cube` `add-exp-log`
14×	`add-sqr-sqrt`
10×	`-un-lft-identity` `associate-r` `associate-l*` `add-cube-cbrt`
8×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`distribute-rgt-in` `distribute-lft-in`
4×	`expm1-log1p-u` `sub-neg` `prod-diff` `associate-r/` `-commutative` `log1p-expm1-u` `add-log-exp`
2×	`flip3--` `flip--` `unswap-sqr`
1×	`distribute-lft-neg-out` `distribute-rgt-neg-out`

Counts

4 → 97

Calls

4 calls:

34.0ms	(* b (- (* c z) (* t i)))
15.0ms	(* t (* (- a) x))
22.0ms	(* (* y z) x)
38.0ms	(* j (- (* c a) (* y i)))

series327.0ms

Counts

4 → 12

Calls

4 calls:

111.0ms	(* b (- (* c z) (* t i)))
41.0ms	(* t (* (- a) x))
42.0ms	(* (* y z) x)
133.0ms	(* j (- (* c a) (* y i)))

simplify1.6s

Counts

109 → 109

Iterations

Iter	Nodes
done	5000
2	2565
1	543
0	205

prune1.1s

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 3.2b

regimes2.8s

Accuracy

34.1% (5.5b remaining)

Error of 9.4b against oracle of 3.8b and baseline of 12.2b

bsearch317.0ms

Steps

Iters	Range		Point
5	2.9377568415155267e+69	6.393366700532409e+69	6.207332660334129e+69
10	-3.0758787964238874e-128	-1.3711261570219608e-139	-4.1279446469355747e-134

simplify18.0ms

Iterations

Iter	Nodes
done	98
3	98
2	94
1	81
0	49

end0.0ms

sample4.7s

Algorithm

intervals

Results

3.3s

19377×

body

valid